The graph shows the history of the value of currency X—in units of currency A and in units of currency...
GMAT Graphics Interpretation : (GI) Questions
The graph shows the history of the value of currency X—in units of currency A and in units of currency B—for the 12-week period beginning on 8 April.
Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.
Owning the Dataset
Table 1: Text Analysis
| Text Component | Content |
|---|---|
| Subject | The value of currency X over time |
| Reference Currencies | Measured in units of currency A and currency B |
| Time Span | 12-week period, beginning on 8 April |
| Data Description | Historical exchange rates of X to A and X to B |
Table 2: Chart Analysis
| Chart Feature | Description |
|---|---|
| Chart Type | Two-line chart (one for \(\mathrm{X/A}\), one for \(\mathrm{X/B}\)) |
| X-Axis | Dates: 12 weeks starting 8 April |
| Y-Axis | Value of currency X (from \(\mathrm{0.111}\) to \(\mathrm{0.131}\)) |
| Series 1 (black) | Value of X in terms of currency A |
| Series 2 (blue) | Value of X in terms of currency B |
| Peak Points | Each line reaches its own maximum at different weeks |
| Crossing Point | Lines cross around early June, indicating changing relative value |
Key Insights
- Currency X's value, as measured in currencies A and B, peaked at different times during the 12-week period
- The chart suggests significant fluctuations, a crossover in early June, and separate local maxima for each line
- This confirms that the highest values for currency X in each currency occurred in different weeks
- The range of values (\(\mathrm{0.111}\) to \(\mathrm{0.131}\)) indicates substantial volatility in this timeframe
Step-by-Step Solution
Question 1: Finding the Greatest Value of Currency X in Terms of Currency A
Complete Statement:
For the 12-week period shown in the graph, the greatest value of a unit of currency X expressed in units of currency A occurred around ______.
Breaking Down the Statement
- Statement Breakdown 1:
- Key Phrase: greatest value of a unit of currency X
- Meaning: We are being asked to find the maximum point for currency X's value.
- Relation to Chart: This will be the highest y-value on the corresponding line on the chart.
- Important Implications: We must identify which line represents currency A and then locate its maximum.
- Statement Breakdown 2:
- Key Phrase: expressed in units of currency A
- Meaning: We must look at the value of X in terms of A.
- Relation to Chart: The chart legend indicates the black solid line depicts \(\mathrm{X/A}\).
- Important Implications: Only the black line should be considered for this blank.
What is needed: The date when the black line (\(\mathrm{X/A}\)) reaches its highest point.
Solution:
- Condensed Solution Implementation:
Visually inspect the chart for the highest point of the black line. - Necessary Data points:
The graph shows that the black and blue lines cross in early June, and the black line peaks before this crossover. - Calculations Estimations:
Of the options (04 May, 01 June, 30 June), the black line reaches its highest point before 01 June, which would be around 04 May. - Comparison to Answer Choices:
04 May is the answer that fits the timing of the black line's peak before the crossover.
FINAL ANSWER Blank 1: 04 May
Question 2: Finding the Greatest Value of Currency X in Terms of Currency B
Complete Statement:
...and the greatest value of a unit of currency X expressed in units of currency B occurred around ______.
Breaking Down the Statement
- Statement Breakdown 1:
- Key Phrase: greatest value of a unit of currency X expressed in units of currency B
- Meaning: We are being asked for the maximum value on the B line.
- Relation to Chart: The chart legend says the blue (or cyan) line is \(\mathrm{X/B}\).
What is needed: The date when the blue (cyan) line (\(\mathrm{X/B}\)) reaches its highest point.
Solution:
- Condensed Solution Implementation:
Visually inspect the chart for the highest point of the blue line. - Necessary Data points:
The blue line crosses the black line in early June and continues upward to its maximum after the crossover. - Calculations Estimations:
Of the choices (04 May, 01 June, 30 June), the blue line appears to peak around or just after the early June crossover, so 01 June fits best. - Comparison to Answer Choices:
01 June aligns with the timing of the blue line's maximum, based on the chart.
FINAL ANSWER Blank 2: 01 June
Summary
By matching each colored line to its currency and analyzing their peaks in relation to the crossover in early June, we find the greatest value for X in A occurs around 04 May and for X in B around 01 June.
Question Independence Analysis
Each blank refers to the value of currency X in a different reference currency; the answers are found independently by analyzing separate lines on the chart.